Just my take on the type of welding to use; MIG welding is primarily for production welding, with heat control and filler being of less 'on the fly flexible'. TIG has very flexible on the fly heat and filler control and is very much compatible with unique welding situations.
Gas shielding has all the positive attributes and none that are detrimental that I know of.
I don't have the skill to use a MIG welder for anything approaching this kind of work. But that's just me. I'd be impressed to see it done with one.